For open-shell nuclei, pairing correlations are handled in the BCS approximation.
They are included using the constant gap approximation by occupation numbers of BCS-type [1]},
which is possible in this work because resonant states are well separated from the continuum.
Basically, it is assumed that pairing matrix elements are constant in the vicinity of the Fermi level [2]}.
When the resonances are accounted for, pairing correlations can be dealt with using the gap equation:
\(& \sum _{i} \frac{\Omega _{i}}{\sqrt{\left(\varepsilon _{i}-\lambda \right)^{2}+\Delta ^{2}}}=\frac{2}{G}, \) 
